Details

Time bar (total: 4.8s)

analyze259.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample42.0ms

Algorithm
intervals
Results
15.0ms162×body160valid
8.0ms289×pre80true
5.0ms39×body320valid
3.0ms55×body80valid
2.0ms33×body80nan

simplify316.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (308.0ms)

IterNodesCost
0183524
1183524

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 43.4b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
39.9b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64
5×pow1_binary64
4×flip3--_binary64 flip--_binary64
3×distribute-lft-out--_binary64
2×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64 sqrt-div_binary64
1×associate-/r*_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 div-sub_binary64 rem-sqrt-square_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 70
Calls
4 calls:
4.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
11.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

series265.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
33.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
112.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
62.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

simplify86.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049881963
149881963

prune87.0ms

Filtered
62 candidates to 82 candidates (-32.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New74882
Fresh000
Picked101
Done000
Total75883

Merged error: 0.2b

Counts
83 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
0.3b
(/.f64 (/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a 2))
0.3b
(/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log_binary64 add-cbrt-cube_binary64
22×times-frac_binary64
20×*-un-lft-identity_binary64
17×cbrt-undiv_binary64 div-exp_binary64
13×cbrt-unprod_binary64 prod-exp_binary64
11×associate-/l*_binary64
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
8×add-log-exp_binary64
6×associate-/r/_binary64
5×associate-/r*_binary64 distribute-lft-out_binary64
4×flip3-+_binary64 pow1_binary64 div-inv_binary64 flip-+_binary64
2×clear-num_binary64 frac-2neg_binary64
1×associate-/l/_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64
Counts
4 → 98
Calls
4 calls:
6.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
15.0ms
(/.f64 (/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a 2))
12.0ms
(/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))

series459.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
33.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
162.0ms
(/.f64 (/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a 2))
202.0ms
(/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
051503003

prune125.0ms

Filtered
76 candidates to 110 candidates (-44.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1019110
Fresh617
Picked101
Done000
Total10810118

Merged error: 0b

Counts
118 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 -2 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))))
0.1b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
0.1b
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))
0.3b
(*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity_binary64
27×add-sqr-sqrt_binary64
25×times-frac_binary64
22×add-cube-cbrt_binary64
18×associate-*r*_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
8×add-log-exp_binary64 distribute-lft-out_binary64
6×pow1_binary64
4×associate-/r*_binary64 associate-/r/_binary64
3×flip3-+_binary64 associate-*l*_binary64 associate-/l*_binary64 flip-+_binary64
2×cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64
1×pow-prod-down_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 93
Calls
4 calls:
8.0ms
(/.f64 -2 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))))
6.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
4.0ms
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))
13.0ms
(*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))))

series392.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(/.f64 -2 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))))
65.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
33.0ms
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))
192.0ms
(*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))))

simplify95.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
051752595

prune110.0ms

Filtered
79 candidates to 105 candidates (-32.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1041105
Fresh369
Picked011
Done000
Total1078115

Merged error: 0b

Counts
115 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(/.f64 (/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 a (*.f64 c (*.f64 16 (*.f64 a c))))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))))) (*.f64 a 2))
0.3b
(/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 a (*.f64 c (*.f64 16 (*.f64 a c))))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))))
0.3b
(*.f64 c (*.f64 16 (*.f64 a c)))
0.4b
(/.f64 (-.f64 (pow.f64 b 4) (*.f64 a (*.f64 c (*.f64 16 (*.f64 a c))))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log_binary64 add-cbrt-cube_binary64
31×times-frac_binary64
27×*-un-lft-identity_binary64
19×cbrt-unprod_binary64 add-cube-cbrt_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
18×cbrt-undiv_binary64 div-exp_binary64
14×associate-/l*_binary64
13×pow1_binary64
8×associate-/r*_binary64 associate-/r/_binary64
6×pow-prod-down_binary64
5×div-inv_binary64
4×flip3-+_binary64 add-log-exp_binary64 distribute-lft-out_binary64 flip-+_binary64
3×associate-/l/_binary64 associate-*l*_binary64 clear-num_binary64 frac-2neg_binary64
1×flip3--_binary64 associate-*r*_binary64 div-sub_binary64 flip--_binary64 *-commutative_binary64
Counts
4 → 128
Calls
4 calls:
22.0ms
(/.f64 (/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 a (*.f64 c (*.f64 16 (*.f64 a c))))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))))) (*.f64 a 2))
19.0ms
(/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 a (*.f64 c (*.f64 16 (*.f64 a c))))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))))
7.0ms
(*.f64 c (*.f64 16 (*.f64 a c)))
11.0ms
(/.f64 (-.f64 (pow.f64 b 4) (*.f64 a (*.f64 c (*.f64 16 (*.f64 a c))))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))

series564.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(/.f64 (/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 a (*.f64 c (*.f64 16 (*.f64 a c))))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))))) (*.f64 a 2))
255.0ms
(/.f64 (*.f64 (*.f64 a c) -4) (+.f64 b (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 a (*.f64 c (*.f64 16 (*.f64 a c))))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))))
18.0ms
(*.f64 c (*.f64 16 (*.f64 a c)))
86.0ms
(/.f64 (-.f64 (pow.f64 b 4) (*.f64 a (*.f64 c (*.f64 16 (*.f64 a c))))) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))

simplify149.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
049236123
149236123

prune197.0ms

Filtered
90 candidates to 140 candidates (-55.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1400140
Fresh066
Picked011
Done011
Total1408148

Merged error: 0b

Counts
148 → 8

regimes67.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06024
16024

end0.0ms

sample1.2s

Algorithm
intervals
Results
472.0ms4967×body160valid
252.0ms8889×pre80true
185.0ms1278×body320valid
89.0ms1755×body80valid
44.0ms889×body80nan

Profiling

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